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3 years ago

Which inequality is represented by this graph?

Mathematics

1 answer:

solniwko [45]3 years ago

6 0

Answer:

D) $y> -\frac{1}{6} x +1$

Step-by-step explanation:

It's going up so it has to be greater than sign, and it's dotted

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A 45 foot ladders leaning up against a building. The base of the latter is 20 feet away from the building. What is the angle of

Tatiana [17]

Answer:

The angle of elevation to the top of the building is 63.61 degrees

Step-by-step explanation:

Here, we want to calculate angle of elevation to the top of the building.

For this, we need a triangle

Please check for this in the attachment.

From the diagram, we are to calculate the angle theta.

To do this, we use trigonometric identities.

Looking at what we have, we have the hypotenuse and the adjacent.

So the trigonometric identity to use is the cosine

Mathematically Cosine theta = adjacent/hypotenuse

Thus, Cos theta = 20/45

Cos theta = 0.444444444444444

Theta = Arc cos(0.444444444444444)

Theta = 63.61 degrees

8 0

3 years ago

Evaluate the expression when x= -7. x²+4x-3

I am Lyosha [343]

The answer is 18
-7^2+4(-7)-3
49+(-28)-3
21-3
18

3 0

3 years ago

Read 2 more answers

Mathematicians 4: Who is Who?

larisa86 [58]

Answer:

a. x = -9 or x = -2

b. -5(x - 4)

c. x = -3 or x = 5

d. x = ±7

Step-by-step explanation:

a. First person;

y = x² + 11x + 18

y = x² + 9x + 2x + 18

y = x(x + 9) + 2(x + 9)

y = (x + 9)(x + 2)

y = x = -9 or x = -2

b. Second person;

y = -5x + 20

The common factor is 5.

y = -5(x - 4)

c. Third person;

y = x² - 2x - 15

y = x² - 5x + 3x - 15

y = x(x - 5) + 3(x - 5)

y = (x + 3)(x - 5)

y = x = -3 or x = 5

d. Fourth person;

y = x² - 49

Applying the difference of squares formula;

(a² - b²) = (a - b)(a + b)

y = x² - 49 = x² - 7² = (x - 7)(x + 7)

y = (x - 7)(x + 7)

y = x = ±7

6 0

3 years ago

A wire 31ft long is stretched from the top of a flagpole to the ground at a point of a flagpole to the ground at a point 15ft fr

Nat2105 [25]

Answer:the height of the flagpole is 27.12 ft

Step-by-step explanation:

The wire makes an angle with the ground and forms a right angle triangle with the flag pole. The length of the wire represents the hypotenuse of the right angle triangle. The height of the flag pole and the ground distance from the wire represents the adjacent and opposite sides respectively.

To determine the height of the flagpole, x we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

31² = x² + 15²

x² = 961 - 225 = 736

x = √736. = 27.12 ft

8 0

3 years ago

Help please!!!!!!!!!

r-ruslan [8.4K]

Answer:

5 right/left , 3 up/down

Step-by-step explanation:

Looking at the Graph count the rise/run of a point.

3 0

3 years ago